Maths

A thief is noticed by a policeman from a distance of 200 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km/h and 11 km/h, respectively. What is the distance (in metres) between them after 9 minutes? Optionsa) 50b) 40c) 60d) 30 Solution

Simplify $ \frac{(4.2)^3 – (1.2)^3}{(4.2)^2 + 5.04 + (1.2)^2}$ Optionsa) 2b) 3c) 5d) 1 Solution Let a = 4.2b = 1.2ab = 5.04Formula :a3 – b3 = (a-b) (a2 +ab + b2)$ \frac{(a-b)(a^2+ab+b^2)}{a^2+ab+b^2}$ = (a-b)(a-b) = (4.2 – 1.2) = 3 Ans: 3

Subject Marks Obtained Total Marks English 73 100 Hindi 56 80 Science 45 75 Mathematic 90 125 IT 45 60 In which subject did he score the highest marks (in %) ? Optionsa) Mathematicb) ITc) Englishd) Hindi Solution As per questionMarks in % = $ \frac {\text{Obtained marks}}{\text{Total marks}}$English marks in % = $ \frac

The cost price of a bat is 75% of the marked price. Calculate the gain percentage after allowing a discount of 15%. Optionsa) 18.61%b) 25.6%c) 21.33%d) 13.33% Solution As per questionDiscount = 15%SP = MP -DP = SP – CP P% = $ \frac{P}{CP} \times 100 $Let the MP = 100CP = $ \frac{100 \times

Simplify $ 4 \frac{4}{5} \times \frac{3}{8} + (3 \frac{1}{2} + \frac{2}{3}) \times \frac{4}{5}$ Optionsa) $ \frac{3}{10}$b) $ \frac{77}{15}$c) $ \frac{15}{77}$d) $ \frac{10}{3}$ Solution As per question$ 4 \frac{4}{5} \times \frac{3}{8} + (3 \frac{1}{2} + \frac{2}{3}) \times \frac{4}{5}$$ 4 \frac{4}{5} \times \frac{3}{8} + ( \frac{7}{2} + \frac{2}{3}) \times \frac{4}{5}$$ 4 \frac{4}{5} \times \frac{3}{8} + (\frac{21+4}{6}) \times

Replace * by the smallest digit so that 723 *56* is divisible by 6. Optionsa) 1b) 2c) 3d) 4 Solution As per question723 *56*Divisible by 6 (2 x 3) divisible by both 2 and 3Divisible by 2 = Last digit is evenFrom options : Number may be 2 and 4Divisible by 3 = sum of